Answer:
m = 0
Explanation:
If two lines are parallel, their slopes are equal.
The slope of x - axis is 0
(why?)
because, slope of a line is given by
![\boxed{\mathsf{slope\:of\:a\:line=tan \theta}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/dv096f6niu0g4w9crn90jpq6kh215gcfqo.png)
Θ is the angle made by the line with the x- axis.
Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.
=> Θ = 0
=> tan Θ = 0
=> slope = 0
and the line in blue is parallel to the X- axis, therefore, it's slope is also 0
(also, a line makes an angle of 0° with the line it's parallel to)
![\mathfrak{\overline{There\:You\:Are!}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/ogi94bmriv5urlrx88ub4jhcqfh7u3bxwq.png)